ENERGY DECAY AND GLOBAL SMOOTH SOLUTIONS FOR A FREE BOUNDARY FLUID-NONLINEAR ELASTIC STRUCTURE INTERFACE MODEL WITH BOUNDARY DISSIPATION
文献类型：期刊论文
| 作者 | Qin, Yizhao2; Guo, Yuxia2; Yao, Peng-Fei1,3 |
| 刊名 | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
 |
| 出版日期 | 2020-03-01 |
| 卷号 | 40期号:3页码:1555-1593 |
| 关键词 | Fluid-structure interaction nonlinear elastodynamic systems boundary dissipation Navier-Stokes equations energy decay global well-posedness |
| ISSN号 | 1078-0947 |
| DOI | 10.3934/dcds.2020086 |
| 英文摘要 | We consider a nonlinear, free boundary fluid-structure interaction model in a bounded domain. The viscous incompressible fluid interacts with a nonlinear elastic body on the common boundary via the velocity and stress matching conditions. The motion of the fluid is governed by incompressible Navier-Stokes equations while the displacement of elastic structure is determined by a nonlinear elastodynamic system with boundary dissipation. The boundary dissipation is inserted in the velocity matching condition. We prove the global existence of the smooth solutions for small initial data and obtain the exponential decay of the energy of this system as well. |
| 资助项目 | National Science Foundation of China[11771235] ; Key Research Program of Frontier Sciences, CAS[QYZDJ-SSW-SYS011] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000502707900010 |
| 出版者 | AMER INST MATHEMATICAL SCIENCES-AIMS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/50463]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Yao, Peng-Fei |
| 作者单位 | 1.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 2.Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Qin, Yizhao,Guo, Yuxia,Yao, Peng-Fei. ENERGY DECAY AND GLOBAL SMOOTH SOLUTIONS FOR A FREE BOUNDARY FLUID-NONLINEAR ELASTIC STRUCTURE INTERFACE MODEL WITH BOUNDARY DISSIPATION[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,2020,40(3):1555-1593. |
| APA | Qin, Yizhao,Guo, Yuxia,&Yao, Peng-Fei.(2020).ENERGY DECAY AND GLOBAL SMOOTH SOLUTIONS FOR A FREE BOUNDARY FLUID-NONLINEAR ELASTIC STRUCTURE INTERFACE MODEL WITH BOUNDARY DISSIPATION.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,40(3),1555-1593. |
| MLA | Qin, Yizhao,et al."ENERGY DECAY AND GLOBAL SMOOTH SOLUTIONS FOR A FREE BOUNDARY FLUID-NONLINEAR ELASTIC STRUCTURE INTERFACE MODEL WITH BOUNDARY DISSIPATION".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 40.3(2020):1555-1593. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。